Advances in Theoretical and Mathematical Physics

Deformations and D-branes

Aaron Bergman

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I discuss the relation of Hochschild cohomology to the physical states in the closed topological string. This allows a notion of deformation intrinsic to the derived category. I use this to identify deformations of a quiver gauge theory associated to a D-branes at a singularity with generalized deformations of the geometry of the resolution of the singularity. An explicit map is given from noncommutative deformations (i.e., B-fields) to terms in the superpotential.

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Adv. Theor. Math. Phys., Volume 12, Number 4 (2008), 781-815.

First available in Project Euclid: 14 July 2008

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Bergman, Aaron. Deformations and D-branes. Adv. Theor. Math. Phys. 12 (2008), no. 4, 781--815.

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